Unformatted text preview: CE243B 1 Prof. Wallace CE243B  DESIGN AND RESPONSE OF RC STRUCTURAL SYSTEMS Problem Set #1: Dynamic Analysis & Response History/Spectrum Due date: 1.1 and 1.2 April 9; 1.3 April 11 Problem 1.1 Response Spectrum Analysis For preliminary design purposes, a 40 story, 480 ft tall, building with 12 ft story heights is modeled as a uniform shear beam. Therefore, the circular frequencies and mode shapes of the building are described as: − = − = ∑ L x n x hL m EI n n i n π φ π ω 2 1 2 sin ) ( 12 2 1 2 2 where the values of story mass m i = 24 kips 2 /ft and total column stiffness at each floor ∑ EI = 4.0E6 kip ft 2 . Determine the following: (a) The effective modal mass n n M L / 2 for each of the first five modes. What fraction of the total mass is associated with each mode? (b) Compute the approximate maximum top displacement, base shear, and base overturning moment by the rootsumsquare method, assuming that the velocity response spectrum value for each...
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This note was uploaded on 04/24/2010 for the course CEE 142 taught by Professor Waless during the Spring '10 term at University of Central Oklahoma.
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